Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
DUAL SPLIT QUATERNIONS AND SCREW MOTION IN MINKOWSKI 3-SPACE
245
258
EN
L
KULA
Ankara University, Faculty of Science, Department of Mathematics
06100 Tandogan, Ankara, Turkey
Y.
YAYLI
Ankara University, Faculty of Science, Department of Mathematics
06100 Tandogan, Ankara, Turkey
10.22099/ijsts.2006.2758
In this paper, two new Hamilton operators are defined and the algebra of dual split quaternions is<br />developed using these operators. It is shown that finite screw motions in Minkowski 3-space can be expressed<br />by dual-number ( 3×3 ) matrices in dual Lorentzian space. Moreover, by means of Hamilton operators, screw<br />motion is obtained in 3-dimensional Minkowski space 3<br />R1
Dual split quaternions,semi-orthogonal dual matrix,screw-motion
http://ijsts.shirazu.ac.ir/article_2758.html
http://ijsts.shirazu.ac.ir/article_2758_1cbee7993f19305b6988ff68bebce4a5.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
DISTRIBUTION OF NATURAL RADIONUCLIDES ON COASTS OF BUSHEHR, PERSIAN GULF, IRAN
259
269
EN
M. R.
ABDI
Department of Physics, University of Isfahan, Isfahan, 81747-73441, I. R. of Iran
H.
FAGHIHIAN
2Department of Chemistry, University of Isfahan, Isfahan, 81747-73441, I. R. of Iran,
M.
KAMALI
Central Laboratory, University of Isfahan, Isfahan, 81747-73441, I. R. of Iran
M.
MOSTAJABODDAVATI
Department of Physics, University of Isfahan, Isfahan, 81747-73441, I. R. of Iran
A.
HASANZADEH
Department of Physics, University of Isfahan, Isfahan, 81747-73441, I. R. of Iran
10.22099/ijsts.2006.2759
A reconnaissance study has been made on the distribution of 238U, 232Th, 40K, 137Cs and<br />geochemical features in soil and sediment samples at various locations on the coast of Bushehr in the Persian<br />Gulf. In this study a gamma-ray spectrometer based on a High Purity Germanium detector and a PC based<br />MCA and X-ray fluorescence (XRF) method were used. Estimation of the measured radionuclide content<br />have been made for the absorbed dose rate of gamma radiation. The Activity concentration (A), the equivalent<br />radium (Req), and the external hazard index (Hex) which resulted from the natural radionuclides in soil and<br />sediment are also calculated. The base-line data of radionuclides and heavy metals in view of the<br />commissioning of nuclear and non-nuclear industries for the coast of Bushehr, which does not yet exist, was<br />obtained.<br />Activity concentration levels due to radionuclides were measured in 50 soil and sediment samples<br />collected from this region. The measurement was performed with respect to their gamma radioactivity for a<br />counting time of 24 hour intervals. From the accumulated spectra, activity concentration were determined for<br />40K (range from 108 to 520 Bq Kg-1), 137Cs (from 6 to 40 Bq Kg-1), 238U (from 12 to 75 Bq Kg-1) and 232Th<br />(from 8 to 33 Bq Kg-1) with the lowest limit detection (LLD) of, respectively, 68, 3.2, 4.3 and 4.3 Bq Kg-1.<br />The dose rate from ambient air at the soil ranges was between 14 to 44 nGy h-1 with an average of 30.56±<br />7.86 nGy h-1.
Natural radionuclide,Gamma spectroscopy,Uranium,Thorium,Cesium,Potassium,HPGe,soil,Bushehr,Persian Gulf
http://ijsts.shirazu.ac.ir/article_2759.html
http://ijsts.shirazu.ac.ir/article_2759_6983e9fdf689b15411792fca60efd854.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
ON PROBLEMS REDUCED TO THE GOURSAT PROBLEM FOR A THIRD ORDER EQUATION
271
277
EN
A.
MAHER
Department of Mathematics, Faculty of Science, Assiut University, Assiut, 71516, Egypt
YE. A.
UTKINA
Department of Mathematics, Faculty of Science, Assiut University, Assiut, 71516, Egypt
10.22099/ijsts.2006.2760
The aim of the present paper is the investigation of some problems which can be reduced to the<br />Goursat problem for a third order equation. Some results and theorems are given concerning the existence and<br />uniqunce for solving the suggested problem.
Third order partial differential equation,goursat problem
http://ijsts.shirazu.ac.ir/article_2760.html
http://ijsts.shirazu.ac.ir/article_2760_30a04d57d4b9c238e515efa2ea47d9a0.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
TEMPERATURE DEPENDENCE OF PHASE TRANSFORMATION PRESSURE IN SILICON
279
283
EN
B.
SALEHPOUR
Faculty of Physics, University of Tabriz, I. R. of Iran
M.
OMIDFAR
Faculty of Physics, University of Tabriz, I. R. of Iran
10.22099/ijsts.2006.2762
In this experimental work the pressure induced phase transformation of silicon and Germanium<br />has been studied. It was shown that at a particular value of applied pressure, (Pt), depending on the sample<br />temperature, the electrical resistance of the specimen falls off to a metallic state. The main goal of this study<br />was to find out how the phase transformation pressure, Pt, for a p-type silicon varies with the sample<br />temperature. The results show that, the value of Pt decreases linearly as the temperature of the sample<br />increases. Meanwhile, other related results including the rate of resistance change in accordance with applied<br />pressure on the sample at different temperatures (~270-350K), both for the semiconductor and the metallic<br />state of the specimen were determined. In another effort, the amount of Pt for an n-type germanium, but only<br />at room temperature, was also determined.
Phase transformation pressure,Silicon,Germanium,metallic state,temperature dependence
http://ijsts.shirazu.ac.ir/article_2762.html
http://ijsts.shirazu.ac.ir/article_2762_f1a322d21138b70413017871e17047f1.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
COMPACT HYPERSURFACES IN EUCLIDEAN SPACE AND SOME INEQUALITIES
285
289
EN
M.
BEKTAS
Department of Mathematics, Fırat University, 23119 Elazig, Turkey
M.
ERGUT
Department of Mathematics, Fırat University, 23119 Elazig, Turkey
10.22099/ijsts.2006.2764
Let (M,g ) be a compact immersed hypersurface of (Rn+1,<,>) , λ1 the first nonzero<br />eigenvalue, α the mean curvature, ρ the support function, A the shape operator, vol (M ) the volume of M,<br />and S the scalar curvature of M. In this paper, we established some eigenvalue inequalities and proved the<br />above.<br />1) 1 2 2 2 2<br />M M<br />A dv dv<br />n<br />∫ ρ ≥ ∫ α ρ ,<br />2)<br />( )<br />2 2 1 2<br />M 1 M<br />dv S dv<br />n n<br />α ρ ≥ ρ<br />∫ − ∫ ,<br />3) If the scalar curvature S and the first nonzero eigenvalue λ1 satisfy S = λ1 (n −1) , then<br />[ ] 2 1 2 0<br />M<br />dv<br />n<br />∫ α − λ ρ ≥ ,<br />4) Suppose that the Ricci curvature of M is bounded below by a positive constant k. Thus<br />( )<br />2 2 2 ( )<br />M 1 M<br />dv k gradf dv vol M<br />n n<br />α ρ ≥ +<br />∫ − ∫ ,<br />5) Suppose that the Ricci curvature is bounded and the scalar curvature satisfy S = λ1 (n −1) and L=k-<br />2S>0 is a constant. Thus<br />( ) 1 2 2 2 2 .<br />M M<br />vol M k dv S dv<br />L L<br />≥ − λ ∫ ψ αρ − ∫ α ρ
First Eigenvalue,Support Function
http://ijsts.shirazu.ac.ir/article_2764.html
http://ijsts.shirazu.ac.ir/article_2764_6fdbbb662f474002837a48b18365eed9.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
NUMERICAL SOLUTION OF THIRD-ORDER BOUNDARY VALUE PROBLEMS
291
295
EN
G. B.
LOGHMANI
Department of Mathematics, Yazd University, Yazd, I. R. of Iran
M.
AHMADINIA
Department of Mathematics, University of Qom, Qom, I. R. of Iran
10.22099/ijsts.2006.2766
In this paper, we use a third degree B-spline function to construct an approximate solution for<br />third order linear and nonlinear boundary value problems coupled with the least square method. Several<br />examples are given to illustrate the efficiency of the proposed technique.
B-spline,least square method,third order BVPs
http://ijsts.shirazu.ac.ir/article_2766.html
http://ijsts.shirazu.ac.ir/article_2766_f908d2cf7ec03192820bfef05797211c.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
FUZZY β −IRRESOLUTE FUNCTIONS AND FUZZY β −COMPACT SPACES IN FUZZIFYING TOPOLOGY
297
314
EN
O. R.
SAYED
Department of Mathematics, Faculty of Science,
Assiut University, Assiut 71516, Egypt
M.
AZAB ABD-ALLAH
Department of Mathematics, Faculty of Science,
Assiut University, Assiut 71516, Egypt
10.22099/ijsts.2006.2770
In this paper the concepts of fuzzifying β − irresolute functions and fuzzifying β − compact<br />spaces are characterized in terms of fuzzifying β − open sets and some of their properties are discussed.
Lukasiewicz logic,fuzzifying topology,β − irresoluteness,fuzzifying compactness,β − compactness
http://ijsts.shirazu.ac.ir/article_2770.html
http://ijsts.shirazu.ac.ir/article_2770_1914b4f628456398a7fcf535978c484c.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
NETWORK OPTIMIZATION WITH PIECEWISE LINEAR CONVEX COSTS
315
323
EN
S.
KETABI
Department of Management, University of Isfahan, I. R. of Iran
10.22099/ijsts.2006.2771
The problem of finding the minimum cost multi-commodity flow in an undirected and complete<br />network is studied when the link costs are piecewise linear and convex. The arc-path model and overflow<br />model are presented to formulate the problem. The results suggest that the new overflow model outperforms<br />the classical arc-path model for this problem. The classical revised simplex, Frank and Wolf and a heuristic<br />method are compared for the problem.
Multi-commodity network flow problem,piecewise linear and convex costs,Arc-path Model,Overflow
Model,Frank and Wolfe Method
http://ijsts.shirazu.ac.ir/article_2771.html
http://ijsts.shirazu.ac.ir/article_2771_6002b5bb53510cdb0aa0a5aae56fab6f.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
BRAIDING FROM 2-GROUPS TO 2-GROUPOIDS
325
341
EN
E.
ULUALAN
Department of Mathematics, Faculty of Science, University of Dumlupınar, Kütahya, Turkey
10.22099/ijsts.2006.2772
We give the concept of ‘braiding’ for 2-groupoids, and we show that this structure is equivalent to<br />braided regular, crossed modules.
Braided crossed modules,cat-groups,internal category,monoidal category
http://ijsts.shirazu.ac.ir/article_2772.html
http://ijsts.shirazu.ac.ir/article_2772_49fa4797bc2e9f7fd3d043c0c05b65a7.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
SEMI-ANALYTICAL SOLUTION OF STABILITY OF COMPOSITE ORTHOTROPIC CYLINDRICAL SHELLS UNDERTIME DEPENDENT A-PERIODIC AXIALCOMPRESSIVE LOAD
343
347
EN
H.
SOFIYEV
1Department of Civil Engineering, Suleyman Demirel University, Isparta, Turkey
AL. H.
SOFIYEV
Technical Sciences Department, Kazakh Branch, Azerbaijan Teachers Institute, Kazakh, Azerbaijan
E.
YUSUFOGLU
Department of Mathematics, Dumlupinar University, Kutahya, Turkey
Z.
KARACA
Department of Civil Engineering, Ondokuz Mayis University, Samsun, Turkey
10.22099/ijsts.2006.2773
In this study, the stability problem of a circular orthotropic cylindrical shell under the effect of an<br />axial compression varying with a power function of time is considered. At first, the modified Donnell type<br />dynamic stability and compatibility equations are obtained using Love’s shell theory. Applying the Galerkin<br />method and Rayleigh-Ritz variational techniques to these equations and taking the large values of loading<br />parameters into consideration, analytics are obtained for critical parameter values. The results show that<br />critical parameters are affected by loading parameters variations, ratio of the Young’s moduli variations,<br />radius to thickness variations and the power of time in the axial compression expression variations.<br />Comparing results with those in the literature validates the present analysis.
orthotropic material,cylindrical shell,dynamic critical axial load,dynamic factor
http://ijsts.shirazu.ac.ir/article_2773.html
http://ijsts.shirazu.ac.ir/article_2773_64b120ae53abfdb6bdc3f7f69c4963f4.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
REGRESSION ANALYSIS IN MARKOV CHAIN
349
354
EN
A. Y.
ALAMUTI
Department of Statistics, Shahid Beheshti University, Evin, Tehran, 19838, I. R. of Iran
R.
MESHKANI
Department of Statistics, Shahid Beheshti University, Evin, Tehran, 19838, I. R. of Iran
10.22099/ijsts.2006.2774
In a finite stationary Markov chain, transition probabilities may depend on some explanatory<br />variables. A similar problem has been considered here. The corresponding posteriors are derived and<br />inferences are done using these posteriors. Finally, the procedure is illustrated with a real example.
Bayes,Empirical Bayes,estimation,Markov chain,maximum likelihood,Regression,transition
probability matrix
http://ijsts.shirazu.ac.ir/article_2774.html
http://ijsts.shirazu.ac.ir/article_2774_087e665a3f96c6b1a75ad8e9d51a35a1.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
TOPOLOGICAL RING-GROUPOIDS AND LIFTINGS
355
362
EN
A.
FATIH OZCAN
Inonu University, Science and Art Faculty
Department of Mathematics, Malatya, Turkey
I.
ICEN
Inonu University, Science and Art Faculty
Department of Mathematics, Malatya, Turkey
M.
HABIL GURSOY
Inonu University, Science and Art Faculty
Department of Mathematics, Malatya, Turkey
10.22099/ijsts.2006.2775
We prove that the set of homotopy classes of the paths in a topological ring is a topological ring<br />object (called topological ring-groupoid). Let p : X → X be a covering map and let X be a topological ring.<br />We define a category UTRCov(X) of coverings of X in which both X and X have universal coverings, and a<br />category UTRGdCov( π1X ) of coverings of topological ring-groupoid π1X , in which X and R0 = X have<br />universal coverings, and then prove the equivalence of these categories. We also prove that the topological<br />ring structure of a topological ring-groupoid lifts to a universal topological covering groupoid.
Fundamental groupoids,topological coverings,topological ring-groupoids
http://ijsts.shirazu.ac.ir/article_2775.html
http://ijsts.shirazu.ac.ir/article_2775_f612489b5f4ee6a241d045d959f7d698.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
SOME MAXIMAL INEQUALITIES FOR RANDOM VARIABLES AND APPLICATIONS
363
367
EN
M.
AMINI
Department of Statistics, Ferdowsi University, Mashhad, I. R. of Iran
A.
BOZORGNIA
Department of Statistics, Ferdowsi University, Mashhad, I. R. of Iran
10.22099/ijsts.2006.2776
In this paper, we extend some famous maximal inequalities and obtain strong laws of large<br />numbers for arbitrary random variables by use of these inequalities and martingale techniques.
Kolmogorove's inequality,Hajek-Renyi inequality,Strong law of large numbers,Martingale
http://ijsts.shirazu.ac.ir/article_2776.html
http://ijsts.shirazu.ac.ir/article_2776_0f0da3aaca17de5d99128ef36e67b026.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
3
2006
12
28
EXISTENCE OF THREE SOLUTIONS FOR THE DIRICHLET PROBLEM INVOLVING THE P-LAPLACIAN AND MINIMAX INEQUALITY FOR RELEVANT FUNCTIONALS
369
374
EN
G. A.
AFROUZI
Department of Mathematics, Faculty of Basic Sciences,
Mazandaran University, Babolsar, I. R. of Iran
S.
HEIDARKHANI
Department of Mathematics, Faculty of Basic Sciences,
Mazandaran University, Babolsar, I. R. of Iran
10.22099/ijsts.2006.2777
In this paper, we establish some results on the existence of at least three weak solutions for a<br />Dirichlet problem involving p-Laplacian using a variational approach.
Dirichlet problem,critical point,three solutions,multiplicity results,minimax inequality
http://ijsts.shirazu.ac.ir/article_2777.html
http://ijsts.shirazu.ac.ir/article_2777_1936b66f5699ec9bb6108332b0ea7f01.pdf